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<html>
<head>
<title>
ARPACK - Eigenvalues and Eigenvectors of Large Matrices
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ARPACK <br> Eigenvalues and Eigenvectors of Large Matrices
</h1>
<hr>
<p>
<b>ARPACK</b>
is a FORTRAN90 program which
computes eigenvalues and eigenvectors of large matrices,
by Richard Lehoucq, Danny Sorensen, Chao Yang.
</p>
<p>
<b>ARPACK</b> supports single and double precision, real or complex
arithmetic. The matrices involved can be symmetric or nonsymmetric.
The user can request just a few eigenvalues, or all of them. There
are special routines for banded matrices.
</p>
<p>
Because the package uses reverse communication, the user is
free to store the matrix in any way suitable. <b>ARPACK</b>
will never require direct access to the matrix, only to
the value of certain matrix-vector products such as <b>A*x</b>
or <b>A'*x</b>.
</p>
<p>
<b>ARPACK</b> includes calls to the <b>LAPACK</b> and <b>BLAS</b>
libraries.
</p>
<p>
There is an ARPACK home page at:
<a href = "http://www.caam.rice.edu/software/ARPACK/index.html">
http://www.caam.rice.edu/software/ARPACK/index.html</a>.
<h3 align = "center">
Languages:
</h3>
<p>
<b>ARPACK</b> is available in
<a href = "../../f_src/arpack/arpack.html">a FORTRAN90 version</a> and
<a href = "../../m_src/arpack/arpack.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/eispack/eispack.html">
EISPACK</a>,
a FORTRAN90 library which
contains eigenvalue routines, since replaced
by LAPACK.
</p>
<p>
<a href = "../../f_src/lapack_examples/lapack_examples.html">
LAPACK_EXAMPLES</a>,
a FORTRAN90 program which
demonstrates the use of the LAPACK linear algebra library.
</p>
<p>
<a href = "../../f_src/test_eigen/test_eigen.html">
TEST_EIGEN</a>,
a FORTRAN90 library which
defines various eigenvalue
test cases.
</p>
<p>
<a href = "../../f_src/test_mat/test_mat.html">
TEST_MAT</a>,
a FORTRAN90 library which
defines test matrices, some of
which have known eigenvalues and eigenvectors.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Richard Lehoucq, Danny Sorensen, Chao Yang.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Richard Lehoucq, Danny Sorensen, Chao Yang,<br>
ARPACK User's Guide:<br>
Solution of Large Scale Eigenvalue Problems with
Implicitly Restarted Arnoldi Methods,<br>
available as
<a href = "../../pdf/arpack.pdf">a PDF file</a>
</li>
<li>
Danny Sorensen,<br>
Implicitly Restarted Arnoldi/Lanczos Methods for
Large Scale Eigenvalue Calculations,<br>
Department of Computational and Applied Mathematics,<br>
Rice University,<br>
TR-96-40,<br>
available as
<a href = "../../pdf/arpack_ref.pdf">a PDF file</a>
</li>
<li>
Information about the use of the ARPACK execution
trace facilities available through "debug.h" is given in
<a href = "arpack_debug.txt">arpack_debug.txt</a>
</li>
<li>
Information about the use of the ARPACK operation count
and timing statistics available through "stat.h" is given in
<a href = "arpack_stat.txt">arpack_stat.txt</a>
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "arpack.f90">arpack.f90</a>, the source code
for the single precision real version.
</li>
<li>
<a href = "debug.h">debug.h</a>, an INCLUDE file needed for debugging.
</li>
<li>
<a href = "stat.h">stat.h</a>, an INCLUDE file needed for program
performance statistics.
</li>
<li>
<a href = "blas.f90">blas.f90</a>, the source code for
all the single precision BLAS routines needed by ARPACK.
</li>
<li>
<a href = "lapack.f90">lapack.f90</a>, the source code
for all the single precision LAPACK routines needed by ARPACK.
</li>
<li>
<a href = "arpack.sh">arpack.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>SSSIMP</b> is a simple symmetric test problem:
<ul>
<li>
<a href = "sssimp.f90">sssimp.f90</a>,
a sample calling program.
</li>
<li>
<a href = "sssimp.sh">sssimp.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "sssimp_output.txt">sssimp_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
<b>SNSIMP</b> is a simple nonsymmetric test problem:
<ul>
<li>
<a href = "snsimp.f90">snsimp.f90</a>,
a sample calling program.
</li>
<li>
<a href = "snsimp.sh">snsimp.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "snsimp_output.txt">snsimp_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 15 March 2008.
</i>
<!-- John Burkardt -->
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